G. Allaire, Conception optimale de structures, Mathématiques & Applications, vol.58, 2007.

A. Bejan, Shape and Structure, from Engineering to Nature, Entropy, vol.3, issue.5, 2000.
DOI : 10.3390/e3050293

M. Bernot, V. Caselles, and J. M. , Optimal transportation networks: models and theory, Lecture notes in mathematics, 2008.

M. Burger, A framework for the construction of level set methods for shape optimization and reconstruction, Interfaces and Free Boundaries, pp.301-329, 2003.

F. Boyer and P. Fabrie, Eléments d'analyse pour l'´ etude de quelques modèles d'´ ecoulements de fluides visqueux incompressibles, Mathématiques & Applications, vol.52, 2006.
DOI : 10.1007/3-540-29819-3

C. Bruneau and P. Fabrie, Effective downstream boundary conditions for incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids, vol.59, issue.8, pp.693-705, 1994.
DOI : 10.1002/fld.1650190805

C. Bruneau and P. Fabrie, New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result, ESAIM: Mathematical Modelling and Numerical Analysis, vol.30, issue.7, pp.815-840, 1996.
DOI : 10.1051/m2an/1996300708151

D. Chenais, On the existence of a solution in a domain identification problem, Journal of Mathematical Analysis and Applications, vol.52, issue.2, pp.189-289, 1975.
DOI : 10.1016/0022-247X(75)90091-8

M. Delfour and J. P. Zolésio, Shapes and Geometries. Analysis, Differential Calculus, and Optimization, Advances in Design and Control SIAM, 2001.

G. Dog?-gan, P. Morin, R. H. Nochetto, and M. Verani, Discrete Gradient Flows for Shape Optimization and Applications, Comput. Methods Appl. Mech. Engrg, vol.196, pp.37-40, 2007.

G. P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Tracts in Natural Philosophy, vol.38, issue.2, 1998.

F. De-gournay, Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization, SIAM Journal on Control and Optimization, vol.45, issue.1, pp.343-367, 2006.
DOI : 10.1137/050624108

A. Henrot and M. Pierre, Variation et " Optimisation de forme, Mathématiques et Applications, vol.48, 2005.
DOI : 10.1007/3-540-37689-5
URL : https://hal.archives-ouvertes.fr/hal-00013871

A. Henrot and Y. Privat, Une conduite cylindrique n'est pas optimale pour minimiser l'´ energie dissipée par un fluide, C. R. Math. Acad. Sci. Paris, vol.346, pp.19-20, 2008.
DOI : 10.1016/j.crma.2008.09.005
URL : https://hal.archives-ouvertes.fr/hal-00359518/document

A. Henrot and Y. Privat, What is the Optimal Shape of a Pipe?, Archive for Rational Mechanics and Analysis, vol.45, issue.4, pp.281-302, 2010.
DOI : 10.1007/s00205-009-0243-8
URL : https://hal.archives-ouvertes.fr/hal-00333705

J. Heywood, R. Rannacher, and S. Turek, Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations, Internat, J. Numer. Methods Fluids, vol.5, p.22, 1996.

B. Mauroy, 3D Hydronamics in the upper human bronchial tree: interplay between geometry and flow distribution, Fractals in Biology and Medicine, 2005.

B. Mauroy, M. Filoche, J. S. Andrade, and B. Sapoval, Interplay between Geometry and Flow Distribution in an Airway Tree, Physical Review Letters, vol.90, issue.14, pp.90-91, 2003.
DOI : 10.1103/PhysRevLett.90.148101
URL : https://hal.archives-ouvertes.fr/hal-00916486

B. Mauroy, M. Filoche, E. R. Weibel, and B. Sapoval, An optimal bronchial tree may be dangerous, Nature, pp.427-633, 2004.
DOI : 10.1038/nature02287
URL : https://hal.archives-ouvertes.fr/hal-00916483

B. Mauroy and N. Meunier, Optimal Poiseuille flow in a finite elastic dyadic tree, ESAIM: Mathematical Modelling and Numerical Analysis, vol.42, issue.4, pp.507-533, 2008.
DOI : 10.1051/m2an:2008015

B. Maury, N. Meunier, A. Soualah, and L. Vial, Outlet Dissipative conditions for air flow in the bronchial tree, ESAIM: Proceedings, vol.14, pp.201-212, 2005.
DOI : 10.1051/proc:2005015
URL : https://hal.archives-ouvertes.fr/hal-00265626

B. Mohammadi and O. Pironneau, Applied shape optimization for fluids, 2001.
DOI : 10.1093/acprof:oso/9780199546909.001.0001
URL : https://hal.archives-ouvertes.fr/hal-00385714

F. Murat and J. Simon, Sur le contrôle par un domaine géométrique, Publication du Laboratoire d'Analyse Numérique de l, 1976.

O. Pironneau, Optimal shape design for elliptic systems, 1984.
DOI : 10.1007/978-3-642-87722-3

B. Protas, T. Bewley, and G. Hagen, A computational framework for the regularization of adjoint analysis in multiscale PDE systems, Journal of Computational Physics, vol.195, issue.1, pp.49-89, 2004.
DOI : 10.1016/j.jcp.2003.08.031

A. Quarteroni and A. Veneziani, Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations, Multiscale Modeling & Simulation, vol.1, issue.2, 2003.
DOI : 10.1137/S1540345902408482

M. Raux, M. N. Fiamma, T. Similowski, and C. Straus, Contr??le de la ventilation??: physiologie et exploration en r??animation, R??animation, vol.16, issue.6, p.16, 2007.
DOI : 10.1016/j.reaurg.2007.09.008

J. Bello and E. Fernández-cara, Optimal shape design for navier-strokes flow, Lecture Notes in Control and Inform. Sci, vol.180, pp.481-489, 1992.
DOI : 10.1007/BFb0113315

J. Bello and E. Fernández-cara, The variation of the drag with respect to the domain in Navier-Stokes flow, Optimization, optimal control, partial differential equations, International Series of Numerical Mathematics, vol.107, pp.287-296, 1992.

J. Sokolowski and J. P. Zolesio, Introduction to Shape Optimization: Shape Sensitivity Analysis, Springer Series in Computational Mathematics, vol.16, 1992.

R. Temam, Navier-Stokes Equations, 1979.
DOI : 10.1090/chel/343

D. Tondeur and L. Luo, Design and scaling laws of ramified fluid distributors by the constructal approach, Chemical Engineering Science, vol.59, issue.8-9, pp.1799-1813, 2004.
DOI : 10.1016/j.ces.2004.01.034
URL : https://hal.archives-ouvertes.fr/hal-00560284